42033633024 has 72 divisors (see below), whose sum is σ = 112062545280. Its totient is φ = 13987191808.

The previous prime is 42033633023. The next prime is 42033633029.

42033633024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42033632982 and 42033633000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033633023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404197 + ... + 497435.

It is an arithmetic number, because the mean of its divisors is an integer number (1556424240).

Almost surely, 2^42033633024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033633024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56031272640).

42033633024 is an abundant number, since it is smaller than the sum of its proper divisors (70028912256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42033633024 is an equidigital number, since it uses as much as digits as its factorization.

42033633024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93845 (or 93831 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The spelling of 42033633024 in words is "forty-two billion, thirty-three million, six hundred thirty-three thousand, twenty-four".